{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "66abbcd1",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "from sklearn.datasets import load_iris\n",
    "\n",
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "from sklearn.preprocessing import StandardScaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ddfeb071",
   "metadata": {},
   "outputs": [],
   "source": [
    "irisdata = load_iris()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "2269f9d3",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "\n",
    "matplotlib.rcParams['font.family']='sans-serif'\n",
    "\n",
    "matplotlib.rcParams['font.sans-serif'] = ['SimHei']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "7e0d3043",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'petal width')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(irisdata.data[:,2],irisdata.data[:,3],c=irisdata.target)\n",
    "\n",
    "plt.xlabel(\"Petal length\")\n",
    "\n",
    "plt.ylabel(\"petal width\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "57a4a9ef",
   "metadata": {},
   "outputs": [],
   "source": [
    "X=irisdata.data[irisdata.target!=0]\n",
    "\n",
    "y=irisdata.target[irisdata.target!=0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "4b4bdde2",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "X_train,X_test,y_train,y_test=train_test_split(X,y,test_size=0.5,random_state=1234)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "80ae9946",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.neighbors import KNeighborsClassifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b6c980ef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier(n_neighbors=4)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn = KNeighborsClassifier(n_neighbors=4)\n",
    "\n",
    "knn.fit(X_train,y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "d319444d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.94"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn.score(X_test,y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "4d41ab28",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fb3fa703950>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X_test[:,2],X_test[:,3],c=y_test)\n",
    "\n",
    "plt.show()\n",
    "\n",
    "plt.scatter(X_test[:,2],X_test[:,3],c=knn.predict(X_test))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "56096355",
   "metadata": {},
   "source": [
    "# 逻辑回归 #"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "867ae3eb",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "\n",
    "from sklearn.metrics import accuracy_score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "3f23525b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegression()"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "classifier = LogisticRegression()\n",
    "\n",
    "classifier.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "62bc62d9",
   "metadata": {},
   "outputs": [],
   "source": [
    "y_pred = classifier.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "4b1649b3",
   "metadata": {},
   "outputs": [],
   "source": [
    "acc = accuracy_score(y_test,y_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "d8cc5ca1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fb3f9d93350>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X_test[:,2], X_test[:,3], c=y_test)\n",
    "plt.show()\n",
    "plt.scatter(X_test[:,2], X_test[:,3], c=y_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "6cdb87d7",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import roc_curve,auc\n",
    "\n",
    "predictions=classifier.predict_proba(X_test)#每一类的概率\n",
    "\n",
    "false_positive_rate, recall, thresholds = roc_curve(y_test, predictions[:, 1],pos_label=2)\n",
    "\n",
    "roc_auc=auc(false_positive_rate,recall)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "0544d0ac",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family ['sans-serif'] not found. Falling back to DejaVu Sans.\n",
      "findfont: Generic family 'sans-serif' not found because none of the following families were found: SimHei\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title('Receiver Operating Characteristic')\n",
    "\n",
    "plt.plot(false_positive_rate, recall, 'b', label='AUC = %0.2f' % roc_auc)\n",
    "\n",
    "plt.legend(loc='lower right')\n",
    "\n",
    "plt.plot([0,1],[0,1],'r--')\n",
    "\n",
    "plt.xlim([0.0,1.0])\n",
    "\n",
    "plt.ylim([0.0,1.0])\n",
    "\n",
    "plt.ylabel('Recall')\n",
    "\n",
    "plt.xlabel('Fall-out')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f12fc2d8",
   "metadata": {},
   "source": [
    "# 决策树 #"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "a53a9c5b",
   "metadata": {},
   "outputs": [],
   "source": [
    "#决策树库\n",
    "\n",
    "from sklearn.tree import DecisionTreeClassifier\n",
    "\n",
    "\n",
    "# 计算准确率库\n",
    "\n",
    "from sklearn.metrics import accuracy_score# 利用训练数据集训练决策树模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "cce76b90",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DecisionTreeClassifier()"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "classifier=DecisionTreeClassifier()\n",
    "\n",
    "classifier.fit(X_train,y_train.ravel())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "6e7a43a3",
   "metadata": {},
   "outputs": [],
   "source": [
    "y_pred = classifier.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "cafd7c0f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the accuarcy of prediction is 0.96\n"
     ]
    }
   ],
   "source": [
    "acc = accuracy_score(y_test,y_pred)\n",
    "\n",
    "print(\"the accuarcy of prediction is\", acc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "5d11d2ad",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fb3f950a810>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X_test[:,2], X_test[:,3], c=y_test)\n",
    "\n",
    "plt.show()\n",
    "\n",
    "plt.scatter(X_test[:,2], X_test[:,3], c=y_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "f4c3393d",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import tree\n",
    "\n",
    "tree.export_graphviz(classifier,out_file=\"tree.dot\"  )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "8acfe9cc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "digraph Tree {\n",
      "node [shape=box, fontname=\"helvetica\"] ;\n",
      "edge [fontname=\"helvetica\"] ;\n",
      "0 [label=\"X[2] <= 4.95\\ngini = 0.493\\nsamples = 50\\nvalue = [28, 22]\"] ;\n",
      "1 [label=\"X[3] <= 1.65\\ngini = 0.124\\nsamples = 30\\nvalue = [28, 2]\"] ;\n",
      "0 -> 1 [labeldistance=2.5, labelangle=45, headlabel=\"True\"] ;\n",
      "2 [label=\"gini = 0.0\\nsamples = 27\\nvalue = [27, 0]\"] ;\n",
      "1 -> 2 ;\n",
      "3 [label=\"X[1] <= 3.0\\ngini = 0.444\\nsamples = 3\\nvalue = [1, 2]\"] ;\n",
      "1 -> 3 ;\n",
      "4 [label=\"gini = 0.0\\nsamples = 2\\nvalue = [0, 2]\"] ;\n",
      "3 -> 4 ;\n",
      "5 [label=\"gini = 0.0\\nsamples = 1\\nvalue = [1, 0]\"] ;\n",
      "3 -> 5 ;\n",
      "6 [label=\"gini = 0.0\\nsamples = 20\\nvalue = [0, 20]\"] ;\n",
      "0 -> 6 [labeldistance=2.5, labelangle=-45, headlabel=\"False\"] ;\n",
      "}\n"
     ]
    }
   ],
   "source": [
    "f = open(\"tree.dot\",\"r\")   #打开文件\n",
    "\n",
    "fr = f.read()  #读取文件\n",
    "\n",
    "print(fr)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b24fbf16",
   "metadata": {},
   "source": [
    "逻辑回归与决策树模型对比：\n",
    "\n",
    "从分类结果上来看，两类模型对测试集样本的分类是完全相同的，说明两模型的训练结果是比较一致的。所以对这个问题来说，这两类模型都能很好地区分样本的类别。但是决策树的判别规则可以很直观的展示出来，而且决策树可以进一步通过随机森林或者其他优化算法优化结果，所以我们更偏向于使用决策树模型。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "60cd35eb",
   "metadata": {},
   "source": [
    "# SVM #"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "36c7bc37",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import svm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "d38d287e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVC(C=1.8, kernel='linear')"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf = svm.SVC(C =1.8, kernel = 'linear')       \n",
    "\n",
    "clf.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "ea6fa8c0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the accuarcy of prediction is 0.94\n"
     ]
    }
   ],
   "source": [
    "acc = clf.score(X_test,y_test)\n",
    "\n",
    "print(\"the accuarcy of prediction is\", acc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "94a2a198",
   "metadata": {},
   "outputs": [],
   "source": [
    "###通过decision_function()计算得到的y_score的值，用在roc_curve()函数中\n",
    "\n",
    "y_score = clf.decision_function(X_test)\n",
    "\n",
    " \n",
    "\n",
    "# Compute ROC curve and ROC area for each class\n",
    "\n",
    "fpr,tpr,threshold = roc_curve(y_test, y_score,pos_label=2) ###计算真正率和假正率\n",
    "\n",
    "roc_auc = auc(fpr,tpr) ###计算auc的值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "117004a0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "\n",
    "lw = 2\n",
    "\n",
    "plt.figure(figsize=(10,10))\n",
    "\n",
    "plt.plot(fpr, tpr, color='darkorange',\n",
    "\n",
    "         lw=lw, label='ROC curve (area = %0.2f)' % roc_auc) ###假正率为横坐标，真正率为纵坐标做曲线\n",
    "\n",
    "plt.plot([0, 1], [0, 1], color='navy', lw=lw, linestyle='--')\n",
    "\n",
    "plt.xlim([0.0, 1.0])\n",
    "\n",
    "plt.ylim([0.0, 1.05])\n",
    "\n",
    "plt.xlabel('False Positive Rate')\n",
    "\n",
    "plt.ylabel('True Positive Rate')\n",
    "\n",
    "plt.title('Receiver operating characteristic example')\n",
    "\n",
    "plt.legend(loc=\"lower right\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c6afd35a",
   "metadata": {},
   "source": [
    "SVM与决策树模型对比：\n",
    "\n",
    "虽然svm分类器的结果也很好，但是其实svm的优势在该数据集中并没有发挥出来，以至在参数选择时核函数也是选择的线性核函数，可谓是“杀鸡用牛刀，出力不讨好”。svm希望通过将原始数据转化到高维空间后完成样本的分类。但其实原始数据集本身就是近似线性可分的了，所以利用svm并没有较大帮助，反而因为模型复杂提高了运算时间且略微降低了精度。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2014e78f",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "MindSpore(1.5.0)",
   "language": "python",
   "name": "mindspore"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
